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Finding the Fourth Proportional to 2,942.52, 4,060.22 and 1,896

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Solution

The fourth proportional to 2,942.52, 4,060.22 and 1,896 is: 2,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.52 : 4,060.22 = 1,896 : x
  2. Step 2: Convert to fraction form
    2,942.52/4,060.22 = 1,896/x
  3. Step 3: Cross multiply
    2,942.52x = 4,060.22 × 1,896
  4. Step 4: Simplify right side
    2,942.52x = 7,698,177.12
  5. Step 5: Solve for x
    x = 7,698,177.12/2,942.52
  6. Step 6: Final answer
    x = 2,616.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.